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Finding the Fourth Proportional to 8,578, 12,867 and 2,422.16

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Solution

The fourth proportional to 8,578, 12,867 and 2,422.16 is: 3,633.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578 : 12,867 = 2,422.16 : x
  2. Step 2: Convert to fraction form
    8,578/12,867 = 2,422.16/x
  3. Step 3: Cross multiply
    8,578x = 12,867 × 2,422.16
  4. Step 4: Simplify right side
    8,578x = 31,165,932.72
  5. Step 5: Solve for x
    x = 31,165,932.72/8,578
  6. Step 6: Final answer
    x = 3,633.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.